Q:

Last year, Jora spent30% of his salary on rent2/5 of his salary on entertainment1/4 of his salary on living expenses.He saved the rest of his salary.Jora spent £3600 on living expenses.Work out how much money he saved.

Accepted Solution

A:
Answer:[tex]money\ saved=\$6,480[/tex]Step-by-step explanation:Letx ----> Jora's salarywe know thatJora spent1) 30% of his salary on rent[tex]30\%=30/100=0.30\\rent=0.30x[/tex]2) 1/4 of his salary on living expenses[tex]1/4=0.25\\living\ expenses=0.25x[/tex]3) He saved the rest of his salary[tex]rest\ of\ his\ salary=x-(0.30x+0.25x)=0.45x[/tex][tex]money\ saved=0.45x[/tex]4) Jora spent £3600 on living expenses[tex]living\ expenses=0.25x[/tex]so[tex]3,600=0.25x[/tex]Solve for x[tex]x=\$14,400[/tex]Find out how much money he savedRemember that[tex]money\ saved=0.45x[/tex]substitute the value of x[tex]money\ saved=0.45(14,400)=\$6,480[/tex]